论文标题
没有不均匀性的坚固性：完全均匀，弱耦合，紫外线完全固体
Solidity without inhomogeneity: Perfectly homogeneous, weakly coupled, UV-complete solids
论文作者
论文摘要
在低能量和长距离处的固体行为通常与微观尺度上的空间翻译自发断裂有关，例如原子晶格。我们展示了三种可恢复范围的量子场理论，这些理论不变，不变且弱耦合，并承认说，一方面，一方面是完全均匀的，直到任意短尺度，另一方面具有与同位素固体相同的红外动力学。此处介绍的所有三个示例都导致相同的特殊固体在低能量下，具有非常受限的相互作用和横向声子，这些相互作用总是以光速传播。特别是，它们违反了众所周知的$ C_L^2> \ frac {4} {3} c_t^2 $结合，因此表明有可能具有健康的可恢复性的理论，即在低能量下表现出负数的负体模量（我们讨论在适当边界条件下是否存在相关的不存在的能力）。我们不知道在没有短尺度不均匀性的情况下，这种特殊性是否是大规模固体行为的不可避免的特征，还是仅仅反映了我们想象力的局限性。
Solid-like behavior at low energies and long distances is usually associated with the spontaneous breaking of spatial translations at microscopic scales, as in the case of a lattice of atoms. We exhibit three quantum field theories that are renormalizable, Poincaré invariant, and weakly coupled, and that admit states that on the one hand are perfectly homogeneous down to arbitrarily short scales, and on the other hand have the same infrared dynamics as isotropic solids. All three examples presented here lead to the same peculiar solid at low energies, featuring very constrained interactions and transverse phonons that always propagate at the speed of light. In particular, they violate the well known $c_L^2 > \frac{4}{3} c_T^2$ bound, thus showing that it is possible to have a healthy renormalizable theory that at low energies exhibits a negative bulk modulus (we discuss how the associated instabilities are absent in the presence of suitable boundary conditions). We do not know whether such peculiarities are unavoidable features of large scale solid-like behavior in the absence of short scale inhomogeneities, or whether they simply reflect the limits of our imagination.
